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Finding the Fourth Proportional to 6,102.71, 9,166.36 and 3,642.33

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Solution

The fourth proportional to 6,102.71, 9,166.36 and 3,642.33 is: 5,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.71 : 9,166.36 = 3,642.33 : x
  2. Step 2: Convert to fraction form
    6,102.71/9,166.36 = 3,642.33/x
  3. Step 3: Cross multiply
    6,102.71x = 9,166.36 × 3,642.33
  4. Step 4: Simplify right side
    6,102.71x = 33,386,898.91
  5. Step 5: Solve for x
    x = 33,386,898.91/6,102.71
  6. Step 6: Final answer
    x = 5,470.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.